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Tresset [83]
3 years ago
13

Rewrite in simplest terms: 10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

6g -86h

Step-by-step explanation:

10( 7g-9h) -4h - 8(-h + 8g)

1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.  

10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\

2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)

70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h

There are no more like terms to combine, so 6g -86h is the answer.

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Give in, interval notation, the unknown numbers in the following description. When 4 is added to twice a number, the result is g
lbvjy [14]
The answer is 8 hope this helps all u have to do is figure out what two numbers added togher give you 18
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3 years ago
I'm having trouble figuring out what the equation is for the trend line and what the slope is
Talja [164]

Answer:

The equation for the trend line would be y = -1/100x + 25

Step-by-step explanation:

In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (0 - 25)/(2500 - 5)

m = -25/2500

m = -1/100

Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.

y = mx + b

y = -1/100x + 25

3 0
3 years ago
Please help me quickly
Mariana [72]

Answer: the awnser to this problem is 38.5 sq. units

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP!<br><br> What is AD? <br><br> A. 15 <br><br> B. 12 <br><br> C. 3 <br><br> D. 20
ki77a [65]

Answer:

A. 15

Step-by-step explanation:

To solve this you need to compare the lengths given to you in the question statement.

Because the lines originate from a single point, they're like triangles.  We can easily see a triangle AGF and a triangle ADE, right?

Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.

They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.

So, A F = 16, A E = 20 (16 + 4), A G = 12.

Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:

\frac{A D}{A G} = \frac{A E}{A F}

So, A D = (A G * A E)/A F

A D = (12 * 20) / 16 = 15

3 0
3 years ago
What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square f
ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0
3 years ago
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